Cylindrical ideal magnetohydrodynamic equilibria with incompressible flows

Journal Article · Thu May 01 00:00:00 EDT 1997 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.872322· OSTI ID:544579

Throumoulopoulos, G N ^[1]; Tasso, H ^[2]

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1. Section of Theoretical Physics, Department of Physics, University of Ioannina, GR 451 10 Ioannina (Greece)
2. Max-Planck-Institut fuer Plasmaphysik, EURATOM Association, D-85748 Garching (Germany)

It is proved that (a) the solutions of the ideal magnetohydrodynamic equation, which describes the equilibrium states of a cylindrical plasma with purely poloidal flow and arbitrary cross-sectional shape [G. N. Throumoulopoulos and G. Pantis, Plasma Phys. Controlled Fusion {bold 38}, 1817 (1996)], are also valid for incompressible equilibrium flows with the axial velocity component being a free surface quantity and that (b) for the case of isothermal incompressible equilibria the magnetic surfaces necessarily have a circular cross-section. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 544579
• Journal Information: Physics of Plasmas, Vol. 4, Issue 5; Other Information: PBD: May 1997
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION
66 PHYSICS
PLASMA
MHD EQUILIBRIUM
PLASMA CONFINEMENT
INCOMPRESSIBLE FLOW
MAGNETIC SURFACES
CYLINDRICAL CONFIGURATION